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Finding the Third Proportional to 152,298.25 and 330,020.25

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Solution

The third proportional to 152,298.25 and 330,020.25 is: 715,132.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,298.25 : 330,020.25 = 330,020.25 : x
  2. Step 2: Convert to fraction form
    152,298.25/330,020.25 = 330,020.25/x
  3. Step 3: Cross multiply
    152,298.25x = 330,020.25 × 330,020.25
  4. Step 4: Simplify right side
    152,298.25x = 108,913,365,410.06
  5. Step 5: Solve for x
    x = 108,913,365,410.06/152,298.25
  6. Step 6: Final answer
    x = 715,132.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.